2L 3s: Difference between revisions
Wikispaces>keenanpepper **Imported revision 220729578 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-04- | : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-04-23 01:49:43 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>222375264</tt>.<br> | ||
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The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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would be in this region || | would be in this region || | ||
|| || || || || 9\22 || || 490.91 || 5 4 4 5 4 || || | || || || || || 9\22 || || 490.91 || 5 4 4 5 4 || || | ||
|| || || || || || 16\39 || 492.31 || 9 7 7 9 7 ||= Dominant (tempering out 64/63) | |||
is around here || | |||
|| || || || 7\17 || || || 494.12 || 4 3 3 4 3 || || | || || || || 7\17 || || || 494.12 || 4 3 3 4 3 || || | ||
|| || || || || 12\29 || || 496.55 || 7 5 5 7 5 || || | || || || || || 12\29 || || 496.55 || 7 5 5 7 5 || || | ||
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From a [[3-limit]] perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic. | From a [[3-limit]] perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic. | ||
From a [[5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[meantone]] and [[mavila]]. | From a [[5-limit]] perspective, the most interesting temperaments with this kind of pentatonic scale are [[meantone]] and [[Pelogic famiy|mavila]]. | ||
There is also the interesting 2.3.7 temperament that tempers out [[64_63|64/63]] ("no-fives [[dominant]]").</pre></div> | There is also the interesting 2.3.7 temperament that tempers out [[64_63|64/63]] ("no-fives [[dominant]]"). | ||
</pre></div> | |||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>2L 3s</title></head><body>&quot;Classic&quot; <a class="wiki_link" href="/pentatonic">pentatonic</a>. Perhaps the most common scale in the world.<br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>2L 3s</title></head><body>&quot;Classic&quot; <a class="wiki_link" href="/pentatonic">pentatonic</a>. Perhaps the most common scale in the world.<br /> | ||
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<td>16\39<br /> | |||
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<td>492.31<br /> | |||
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<td>9 7 7 9 7<br /> | |||
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<td style="text-align: center;">Dominant (tempering out 64/63)<br /> | |||
is around here<br /> | |||
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From a <a class="wiki_link" href="/3-limit">3-limit</a> perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic.<br /> | From a <a class="wiki_link" href="/3-limit">3-limit</a> perspective, just make a chain of four 4/3's and octave-reduce, and you end up with pentatonic.<br /> | ||
<br /> | <br /> | ||
From a <a class="wiki_link" href="/5-limit">5-limit</a> perspective, the most interesting temperaments with this kind of pentatonic scale are <a class="wiki_link" href="/meantone">meantone</a> and <a class="wiki_link" href="/ | From a <a class="wiki_link" href="/5-limit">5-limit</a> perspective, the most interesting temperaments with this kind of pentatonic scale are <a class="wiki_link" href="/meantone">meantone</a> and <a class="wiki_link" href="/Pelogic%20famiy">mavila</a>.<br /> | ||
<br /> | <br /> | ||
There is also the interesting 2.3.7 temperament that tempers out <a class="wiki_link" href="/64_63">64/63</a> (&quot;no-fives <a class="wiki_link" href="/dominant">dominant</a>&quot;).</body></html></pre></div> | There is also the interesting 2.3.7 temperament that tempers out <a class="wiki_link" href="/64_63">64/63</a> (&quot;no-fives <a class="wiki_link" href="/dominant">dominant</a>&quot;).</body></html></pre></div> | ||